South of the park where Bill has walked isn't bad as it's in the resort area and there are always lots of people walking around. Nice bright lights etc. Harbor and Chapman is a big difference. They've actually updated the Harbor and chapman area, but it's still not the greatest. I'm trying to think where there is a vons there. Not sure. I would not walk this area at night, especially at night with kids. (though i High school we did because we were stupid, and that's where our boyfriends lived, coming from a nice area we didn't realize what we were doing). I do think they've cleaned up the area a bit, but you used to be able to buy women on this stretch (and lots of other things).
What hotel are you staying at.